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Finding the Fourth Proportional to 30,299.20, 45,383.04 and 14,684

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Solution

The fourth proportional to 30,299.20, 45,383.04 and 14,684 is: 21,994.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,299.20 : 45,383.04 = 14,684 : x
  2. Step 2: Convert to fraction form
    30,299.20/45,383.04 = 14,684/x
  3. Step 3: Cross multiply
    30,299.20x = 45,383.04 × 14,684
  4. Step 4: Simplify right side
    30,299.20x = 666,404,559.36
  5. Step 5: Solve for x
    x = 666,404,559.36/30,299.20
  6. Step 6: Final answer
    x = 21,994.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.